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Finding the Fourth Proportional to 591.18, 886.17 and 386.16

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Solution

The fourth proportional to 591.18, 886.17 and 386.16 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.18 : 886.17 = 386.16 : x
  2. Step 2: Convert to fraction form
    591.18/886.17 = 386.16/x
  3. Step 3: Cross multiply
    591.18x = 886.17 × 386.16
  4. Step 4: Simplify right side
    591.18x = 342,203.41
  5. Step 5: Solve for x
    x = 342,203.41/591.18
  6. Step 6: Final answer
    x = 578.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.